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Finding the Third Proportional to 457,514 and 660,025

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Solution

The third proportional to 457,514 and 660,025 is: 952,174.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,514 : 660,025 = 660,025 : x
  2. Step 2: Convert to fraction form
    457,514/660,025 = 660,025/x
  3. Step 3: Cross multiply
    457,514x = 660,025 × 660,025
  4. Step 4: Simplify right side
    457,514x = 435,633,000,625
  5. Step 5: Solve for x
    x = 435,633,000,625/457,514
  6. Step 6: Final answer
    x = 952,174.14

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.